A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$

Jeanne N. Clelland; Jonah M. Miller

arxiv: 1308.0288 · v1 · pith:6ICAP5J2new · submitted 2013-08-01 · 🧮 math.DG

A characterization of hyperbolic affine flat, affine minimal surfaces in mathbb{A}³

Jeanne N. Clelland , Jonah M. Miller This is my paper

classification 🧮 math.DG

keywords affinesurfacescompleteflathyperbolicinvariantslocalmathbb

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We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space $\mathbb{A}^3$. We use Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of such surfaces and construct new examples.

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A characterization of hyperbolic affine flat, affine minimal surfaces in mathbb{A}³

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